Câu hỏi của Trương Dung Dung

Question

Rút gọn:

5³².20⁴³/(-8)²⁹.125²⁵

Mn cho mik cách giải ạ

Cảm ơn nhìu ạ

༺༒༻²ᵏ⁸ · Accepted Answer

$\frac{5^{32}.20^{43}}{\left(-8\right)^{29}.125^{25}}$

$=\frac{5^{32}.\left(2^2.5\right)^{43}}{\left\{\left(-2\right)^3\right\}^{29}.\left(5^3\right)^{25}}$

$=\frac{5^{32}.2^{86}.5^{43}}{\left(-2\right)^{87}.5^{75}}$

$=\frac{5^{75}.2^{86}}{\left(-2\right).2^{86}.5^{75}}$

$=\frac{1}{-2}=-\frac{1}{2}$

Câu trả lời:

$\frac{5^{32}.20^{43}}{\left(-8\right)^{29}.125^{25}}$

$=\frac{5^{32}.\left(2^2.5\right)^{43}}{\left\{\left(-2\right)^3\right\}^{29}.\left(5^3\right)^{25}}$

$=\frac{5^{32}.2^{86}.5^{43}}{\left(-2\right)^{87}.5^{75}}$

$=\frac{5^{75}.2^{86}}{\left(-2\right).2^{86}.5^{75}}$

$=\frac{1}{-2}=-\frac{1}{2}$